Answered: Suppose that the makers of Duracell…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the makers of Duracell batteries want to demonstrate that their size AA
battery lasts an average of at least 45 minutes longer than Duracell’s main competitor,
the Energizer. Two independent random samples of 100 batteries of each kind are
selected, and the batteries are run continuously until they are no longer operational. The
sample average life for Duracell is found to be 308 minutes. The result for the Energizer
batteries is 254 minutes. Assume the entire AA batteries standard deviation 84 minutes
and Duracell batteries 67 minutes. Is there evidence to substantiate Duracell’s claim that
its batteries last, on average, at least 45 minutes longer than Energizer batteries of the
same size? (assuming equal population variances)

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